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142553001320 = 23573833311777
BaseRepresentation
bin1000010011000011010…
…0100010110101101000
3111121221202121210011122
42010300310202311220
54313422032020240
6145253221314412
713204411342562
oct2046064426550
9447852553148
10142553001320
11555024a8894
1223764865a08
131059a78a972
146c84718332
153a94e1b4b5
hex2130d22d68

142553001320 has 128 divisors (see below), whose sum is σ = 330235194240. Its totient is φ = 55363461120.

The previous prime is 142553001319. The next prime is 142553001329. The reversal of 142553001320 is 23100355241.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 142553001320.

It is not an unprimeable number, because it can be changed into a prime (142553001329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80220272 + ... + 80222048.

It is an arithmetic number, because the mean of its divisors is an integer number (2579962455).

Almost surely, 2142553001320 is an apocalyptic number.

142553001320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142553001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165117597120).

142553001320 is an abundant number, since it is smaller than the sum of its proper divisors (187682192920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

142553001320 is a wasteful number, since it uses less digits than its factorization.

142553001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 142553001320 its reverse (23100355241), we get a palindrome (165653356561).

The spelling of 142553001320 in words is "one hundred forty-two billion, five hundred fifty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 83 146 166 292 331 332 365 415 584 662 664 730 830 1324 1460 1655 1660 1777 2648 2920 3310 3320 3554 6059 6620 7108 8885 12118 13240 14216 17770 24163 24236 27473 30295 35540 48326 48472 54946 60590 71080 96652 109892 120815 121180 129721 137365 147491 193304 219784 241630 242360 259442 274730 294982 483260 518884 549460 588187 589964 648605 737455 966520 1037768 1098920 1176374 1179928 1297210 1474910 2005529 2352748 2594420 2940935 2949820 4011058 4705496 5188840 5881870 5899640 8022116 10027645 10766843 11763740 16044232 20055290 21533686 23527480 40110580 42937651 43067372 48819521 53834215 80221160 85875302 86134744 97639042 107668430 171750604 195278084 214688255 215336860 244097605 343501208 390556168 429376510 430673720 488195210 858753020 976390420 1717506040 1952780840 3563825033 7127650066 14255300132 17819125165 28510600264 35638250330 71276500660 142553001320